Pith Number

pith:LKDNGMQJ

pith:2014:LKDNGMQJRA76FORAJ2ZX6DC4ZQ

not attested not anchored not stored refs pending

Exponential Varieties

Bernd Sturmfels, Caroline Uhler, Mateusz Micha{\l}ek, Piotr Zwiernik

arxiv:1412.6185 v2 · 2014-12-18 · math.AG · math.ST · stat.TH

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LKDNGMQJRA76FORAJ2ZX6DC4ZQ}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T00:44:28.593156Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5a86d33209883fe2ba204eb37f0c5ccc3446e6794566c0fc0a4eaf8c2578a38b

Aliases

arxiv: 1412.6185 · arxiv_version: 1412.6185v2 · doi: 10.48550/arxiv.1412.6185 · pith_short_12: LKDNGMQJRA76 · pith_short_16: LKDNGMQJRA76FORA · pith_short_8: LKDNGMQJ

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/LKDNGMQJRA76FORAJ2ZX6DC4ZQ \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 5a86d33209883fe2ba204eb37f0c5ccc3446e6794566c0fc0a4eaf8c2578a38b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1cba2d5fbe4c24fc71f096fabbdc6d5885d91dfd1610f0fd931ed61f93fa1798",
    "cross_cats_sorted": [
      "math.ST",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2014-12-18T23:58:29Z",
    "title_canon_sha256": "668e8229853b68e62f3c7df57b7492e824f5e4d20c2232b25d152651ad404f9b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.6185",
    "kind": "arxiv",
    "version": 2
  }
}